A sample of General Mills employees was studied to determine their degree of satisfaction with their present life. A special index, called the index of satisfaction, was used to measure satisfaction. Six factors were studied: age at the time of first marriage (X1), annual income (X2), number of children living (X3), value of all assets (X4), status of health in the form of an index (X5), and the average number of social activities per week (X6). Suppose the multiple regression equation is: Y' = 16.24 + 0.017X1 + 0.00028X2 + 42X3 + 0.0012X4 + 0.19X5 + 26.8X6. What is the estimated index of satisfaction for a person who first married at 25, has an annual income of $100,000, has two children, has assets of $500,000, has in index of health status of 141, and has 2 social activities per week?

A) 777.7 B) 796.6 C) 588.6 D) 601.6 E) 809.1 A) 777.7 B) 796.6 C) 588.6 D) 601.6 E) 809.1

A sample of General Mills employees was studied to determine their degree of satisfaction with their present life. A special index, called the index of satisfaction, was used to measure satisfaction. Six factors were studied: age at the time of first marriage (X1), annual income (X2), number of children living (X3), value of all assets (X4), status of health in the form of an index (X5), and the average number of social activities per week (X6). Suppose the multiple regression equation is: Y' = 16.24 + 0.017X1 + 0.00028X2 + 42X3 + 0.0012X4 + 0.09X5 + 26.8X6. Explain the meaning of b2.

A) For each additional$1,000 of annual income, their satisfaction index is expected to increase by 0.28 points. B) For each additional$1,000 of annual income, their satisfaction index is expected to increase by 2.8 points. C) For each additional$1,000 of annual income, their satisfaction index is expected to increase by 28 points. D) For each additional living child, their satisfaction index is expected to increase by 42 points. E) For each additional living child, their satisfaction index is expected to increase by 4.2 points. A) For each additional$1,000 of annual income, their satisfaction index is expected to increase by 0.28 points. B) For each additional$1,000 of annual income, their satisfaction index is expected to increase by 2.8 points. C) For each additional$1,000 of annual income, their satisfaction index is expected to increase by 28 points. D) For each additional living child, their satisfaction index is expected to increase by 42 points. E) For each additional living child, their satisfaction index is expected to increase by 4.2 points.

A sample of General Mills employees was studied to determine their degree of satisfaction with their present life. A special index, called the index of satisfaction, was used to measure satisfaction. Six factors were studied: age at the time of first marriage (X1), annual income (X2), number of children living (X3), value of all assets (X4), status of health in the form of an index (X5), and the average number of social activities per week (X6). Suppose the multiple regression equation is: Y' = 16.24 + 0.017X1 + 0.00028X2 +42X3 + 0.0012X4 + 0.09X5 + 26.8X6. Explain the meaning of b5.

A) For each additional10 points on the health status index, their satisfaction index is expected to increase by 9 points. B) For each additional10 points on the health status index, their satisfaction index is expected to increase by 0.09 points. C) For each additional10 points on the health status index, their satisfaction index is expected to increase by 0.9 points. D) For each additional10 points on the health status index, their satisfaction index is expected to drop by 0.09 points. E) For each additional10 points on the health status index, their satisfaction index is expected to decrease by 9 points. A) For each additional10 points on the health status index, their satisfaction index is expected to increase by 9 points. B) For each additional10 points on the health status index, their satisfaction index is expected to increase by 0.09 points. C) For each additional10 points on the health status index, their satisfaction index is expected to increase by 0.9 points. D) For each additional10 points on the health status index, their satisfaction index is expected to drop by 0.09 points. E) For each additional10 points on the health status index, their satisfaction index is expected to decrease by 9 points.

A real estate agent developed a model to relate a house's selling price (Y) to the area of floor space (X) and the area of floor space squared (X2). The multiple regression equation for this model is: Y = 125 - 3X + X2 where: Y = selling price (times $1,000) X = square feet of floor space (times 100) What is the difference in selling prices of a house with 1,600 square feet and one with 1,700 square feet?

A) $30 000 B) $3000 C) $363 000 D) $333 000 A) $30 000 B) $3000 C) $363 000 D) $333 000

It has been hypothesized that overall academic success for freshmen at college as measured by grade point average (GPA) is a function of IQ scores (X1), hours spent studying each week (X2), and one's high school average (X3). Suppose the regression equation is: Y' = -6.9 + 0.055X1 + 0.107X2 + 0.0083X3. The multiple standard error is 6.313 and R2= 0.826. What will the GPA be if the number of hours spent studying is 30 the IQ is 108, and the high school average is 82?

A) 3.1446 B) 2.9306 C) 0.428 D) 10.0446 E) 13.1892 A) 3.1446 B) 2.9306 C) 0.428 D) 10.0446 E) 13.1892

Exam 13: Multiple Regression and Correlation Analysis

A sample of General Mills employees was studied to determine their degree of satisfaction with their present life. A special index, called the index of satisfaction, was used to measure satisfaction. Six factors were studied: age at the time of first marriage (X₁), annual income (X₂), number of children living (X₃), value of all assets (X₄), status of health in the form of an index (X₅), and the average number of social activities per week (X₆). Suppose the multiple regression equation is: Y' = 16.24 + 0.017X₁ + 0.00028X₂ + 42X₃ + 0.0012X₄ + 0.19X₅ + 26.8X₆. What is the estimated index of satisfaction for a person who first married at 25, has an annual income of $100,000, has two children, has assets of $500,000, has in index of health status of 141, and has 2 social activities per week?

(Multiple Choice)

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Question 41

A manager at a local bank analyzed the relationship between monthly salary and three independent variables: length of service (measured in months), gender (0 = female, 1 = male) and job type (0 = clerical, 1 = technical). The following ANOVA summarizes the regression results: The results for the variable gender show that,

(Multiple Choice)

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Question 42

What does the correlation matrix for a multiple regression analysis contain?

(Multiple Choice)

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Question 43

Twenty-one executives in a large corporation were randomly selected for a study in which several factors were examined to determine their effect on annual salary (expressed in $000's). The factors selected were age, seniority, years of college, number of company divisions they had been exposed to and the level of their responsibility. A regression analysis was performed using a popular spreadsheet program with the following regression output: What is the effect on salary for an increase of one level of responsibility if the other variables are held constant?

(Multiple Choice)

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Question 44

A sample of General Mills employees was studied to determine their degree of satisfaction with their present life. A special index, called the index of satisfaction, was used to measure satisfaction. Six factors were studied: age at the time of first marriage (X₁), annual income (X₂), number of children living (X₃), value of all assets (X₄), status of health in the form of an index (X₅), and the average number of social activities per week (X₆). Suppose the multiple regression equation is: Y' = 16.24 + 0.017X₁+ 0.00028X₂+ 42X₃+ 0.0012X₄+ 0.09X₅+ 26.8X₆. Explain the meaning of b₂.

(Multiple Choice)

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Question 45

A sample of General Mills employees was studied to determine their degree of satisfaction with their present life. A special index, called the index of satisfaction, was used to measure satisfaction. Six factors were studied: age at the time of first marriage (X₁), annual income (X₂), number of children living (X₃), value of all assets (X₄), status of health in the form of an index (X₅), and the average number of social activities per week (X₆). Suppose the multiple regression equation is: Y' = 16.24 + 0.017X₁+ 0.00028X₂+42X₃+ 0.0012X₄+ 0.09X₅+ 26.8X₆. Explain the meaning of b₅.

(Multiple Choice)

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Question 46

How is the degree of association between the set of independent variables and the dependent variable is measured?

(Multiple Choice)

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Question 47

The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income. Which is the dependent variable?

(Multiple Choice)

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Question 48

A real estate agent developed a model to relate a house's selling price (Y) to the area of floor space (X) and the area of floor space squared (X²). The multiple regression equation for this model is: Y = 125 - 3X + X²where: Y = selling price (times $1,000) X = square feet of floor space (times 100) What is the difference in selling prices of a house with 1,600 square feet and one with 1,700 square feet?

(Multiple Choice)

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Question 49

If the coefficient of multiple determinations is 0.81, what percent of variation is not explained?

(Multiple Choice)

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Question 50

When does multicollinearity occur in a multiple regression analysis?

(Multiple Choice)

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Question 51

The production of automobile tires in any given year is related to the number of automobiles produced this year and in prior years. Suppose our econometric model resulted in the following data. Which variable in the model is the most significant predictor of tire production?

(Multiple Choice)

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Question 52

The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income. Which independent variable has the weakest association with the dependent variable?

(Multiple Choice)

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Question 53

Angela Chou has been asked to investigate the determinants of poverty in Ontario communities. She collected data on 60 communities from Statistics Canada. She selected the percentage of poor persons living under the poverty line [Poor (%)], measured by Low Income Cut-Off, designed by Statistics Canada as a measure of poverty for a community, as the dependent variable. The independent variables selected are percent of single families in each community, the unemployment rate in each community, percent of population in the community holding a bachelor's degree as their highest level of education attained, and percent of population holding a High School Diploma as their highest level of education attained. Given the regression equation Poor (%) = -3.81 + 0.798 Single-Families (%) + 0.624 Unemployment Rate (%) - 0.170 Bachelor's Degree (%) - 0.003 High School (%). How many dependent variables are there in this regression?

(Multiple Choice)

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Question 54

The production of automobile tires in any given year is related to the number of automobiles produced this year and in prior years. Suppose our econometric model resulted in the following data. How much does tire production increase for every thousand cars produced two years ago?

(Multiple Choice)

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Question 55

A manager at a local bank analyzed the relationship between monthly salary and three independent variables: length of service (measured in months), gender (0 = female, 1 = male) and job type (0 = clerical, 1 = technical). The following ANOVA summarizes the regression results: Based on the hypothesis tests for the individual regression coefficients,

(Multiple Choice)

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Question 56

It has been hypothesized that overall academic success for freshmen at college as measured by grade point average (GPA) is a function of IQ scores (X₁), hours spent studying each week (X₂), and one's high school average (X₃). Suppose the regression equation is: Y' = -6.9 + 0.055X₁+ 0.107X₂+ 0.0083X₃. The multiple standard error is 6.313 and R²= 0.826. What will the GPA be if the number of hours spent studying is 30 the IQ is 108, and the high school average is 82?

(Multiple Choice)

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Question 57

The coefficient of determination measures the proportion of

(Multiple Choice)

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Question 58

i. The values ofb₁, b₂ and b₃in a multiple regression equation are called the net regression coefficients. They indicate the change in the predicted value for a unit change in one X when the other X variables are held constant. ii. Multiple regression analysis examines the relationship of several dependent variables on the independent variable. iii. A multiple regression equation defines the relationship between the dependent variable and the independent variables in the form of an equation.

(Multiple Choice)

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Question 59

In multiple regression, a dummy variable can be included in a multiple regression model as

(Multiple Choice)

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Question 60

Showing 41 - 60 of 128

What does the correlation matrix for a multiple regression analysis contain?

How is the degree of association between the set of independent variables and the dependent variable is measured?

The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income. Which is the dependent variable?

If the coefficient of multiple determinations is 0.81, what percent of variation is not explained?

When does multicollinearity occur in a multiple regression analysis?

The production of automobile tires in any given year is related to the number of automobiles produced this year and in prior years. Suppose our econometric model resulted in the following data. Which variable in the model is the most significant predictor of tire production?

The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income. Which independent variable has the weakest association with the dependent variable?

The production of automobile tires in any given year is related to the number of automobiles produced this year and in prior years. Suppose our econometric model resulted in the following data. How much does tire production increase for every thousand cars produced two years ago?

The coefficient of determination measures the proportion of

In multiple regression, a dummy variable can be included in a multiple regression model as

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Chi-Square Applications

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

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